#### To determine

The statement is true or false.

#### Answer

True

#### Explanation

Recall the net change theorem.

The integral of rate of change is the net change, that is

∫abF'xdx=Fb-F(a)

So, by applying the net change theorem for ∫13f'vdv

∫13f'vdv=f3-f1

**Conclusion:**

Therefore, the given statement is true.